DIRICHLET PROBLEM FOR DEGENERATE ELLIPTIC COMPLEX MONGE-AMPERE EQUATION

被引：0

作者：

Kallel-Jallouli, Saoussen ^{[1
]}

机构：

[1] Fac Sci, Tunis 1060, Tunisia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年

关键词：

Degenerate elliptic; omplex Monge-Ampere; Plurisubharmonic function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Dirichlet problem [GRAPHICS] where Omega is a bounded open set of C-n with regular boundary, g and phi are sufficiently smooth functions, and g is non-negative. We prove that, under additional hypotheses on g and phi, if vertical bar det phi(ij) - g vertical bar C-s* is sufficiently small the problem has a plurisubharmonic solution.

引用

页数：24

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